This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
int dirI[] = {0, 0, 1, -1};
int dirJ[] = {1, -1, 0, 0};
int R, C, N;
bool isBest(int d1, int d2, pair<int, int>& p){
int mn1, mx1, mn2, mx2;
if(d1 < d2){
mn1 = d1;
mx1 = d2;
}else{
mn1 = d2;
mx1 = d1;
}
if(p.first<p.second){
mn2 = p.first;
mx2 = p.second;
}else{
mn2 = p.second;
mx2 = p.first;
}
if(!((mx1 <= N && mn1 < N) || (mx2 <= N && mn2 < N))) return false;
if(mx1 == mx2) return mn1 < mn2;
else return mx1 < mx2;
}
int main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
cin >> R >> C >> N;
int Sr, Sc, Gr, Gc; cin >> Sr >> Sc >> Gr >> Gc; Sr--; Sc--; Gr--; Gc--;
vector<string> v(R);
for(auto &i : v) cin >> i;
vector<pair<int, int>> added = {{Sr, Sc}};
vector<vector<int>> dist(R, vector<int>(C, 1e9));
vector<vector<bool>> vis(R, vector<bool>(C, false));
vector<vector<pair<int, int>>> best(R, vector<pair<int, int>>(C, {1e9, 1e9}));
dist[Sr][Sc] = 0;
for(int t = 0; t < 2*R*C; t++){
if(t==0){
//Time to freely expand;
queue<pair<int, int>> q;
for(pair<int, int>& p : added){
q.push(p);
}
while(!q.empty()){
int i = q.front().first; int j = q.front().second; q.pop();
if(i == Gr && j == Gc){
cout << dist[i][j] << "\n";
return 0;
}
// cout << "i " << i+1 << " j " << j+1 << " dist " << dist[i][j] << "\n";
for(int k = 0; k < 4; k++){
int ai = dirI[k]; int aj = dirJ[k];
if(i + ai < 0 || i + ai >= R || j + aj < 0 || j + aj >= C) continue;
int ni = i + ai; int nj = j + aj;
// cout << "ni " << ni << " nj " << nj << "\n";
if(v[ni][nj] == '.' && dist[ni][nj] > dist[i][j]){
dist[ni][nj] = dist[i][j];
added.push_back({ni, nj});
q.push({ni, nj});
}
}
}
}else{
priority_queue<pair<int, int>> q;
int d = 0;
for(pair<int, int>& p : added){
q.push({0, p.first*C+p.second});
best[p.first][p.second] = {0, 0};
d = dist[p.first][p.second];
vis[p.first][p.second] = false;
}
added.clear();
while(!q.empty()){
int val = q.top().second; q.pop();
int i = val/C; int j = val%C;
if(i == Gr && j == Gc){
cout << dist[i][j] << "\n";
return 0;
}
if(vis[i][j]) continue;
vis[i][j] = true;
if(best[i][j].first >= N || best[i][j].second >= N){
added.push_back({i, j});
}
for(int k = 0; k < 4; k++){
int ai = dirI[k]; int aj = dirJ[k];
if(i + ai < 0 || i + ai >= R || j + aj < 0 || j + aj >= C) continue;
int ni = i + ai; int nj = j + aj;
if(dist[ni][nj] > d && isBest(best[i][j].first+abs(ai), best[i][j].second+abs(aj), best[ni][nj])){
dist[ni][nj] = d+1;
best[ni][nj] = {best[i][j].first+abs(ai), best[i][j].second+abs(aj)};
q.push({-max(best[ni][nj].first, best[ni][nj].second)*(N+2)+min(best[ni][nj].first, best[ni][nj].second), ni*C+ nj});
}else if(dist[ni][nj] > d + 1 && v[ni][nj] == '.'){
dist[ni][nj] = d + 1;
q.push({2e9, ni*C+ nj});
}
}
}
}
}
cout << dist[Gr][Gc] << "\n";
}
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